Apparatus and method for transient control in a multiphase switching power supply

ABSTRACT

A multiphase sliding-mode switching power supply ( 24 ) and a method of operating the power supply ( 24 ) are provided. A switch ( 30 ) for each phase ( 28 ) is coupled to a bipolar power source ( 22 ), with each switch ( 30 ) effecting one phase ( 28 ). An inductance ( 32 ) is coupled to each switch ( 30 ), and a capacitance ( 36 ) is coupled to the inductances ( 32 ). A load ( 26 ) is coupled across the capacitance ( 36 ). A sliding-surface generator ( 78 ) is coupled to the monitor circuit ( 38 ) and generates a single sliding surface (σ) for all phases ( 28 ). A translation circuit ( 102 ) is coupled to the sliding-surface generator ( 78 ) and configured to translate the sliding surface (σ) into a stream of switching pulses ( 86 ). A transient control ( 52 ) is coupled to the translation circuit ( 102 ) and configured to adjust said stream of switching pulses upon detection of an out-of-range transient. A switching circuit ( 138 ) is coupled to the switches ( 30 ) and the transient control ( 52 ), and switches the switches ( 30 ) in response to the stream of switching pulses ( 86 ).

RELATED INVENTIONS

The present invention claims benefit under 35 U.S.C. 119(e) to “Switching Power Supply with Sliding-Mode Control,” U.S. Provisional Patent Application Ser. No. 60/588,098, filed 15 Jul. 2004, which is incorporated by reference herein.

The present invention is related to the following U.S. patent applications, each of which was filed on the same date as the present application, is assigned to the assignee hereof, and is incorporated by reference herein:

“Apparatus and Method for Sliding-Mode Control in a Multiphase Switching Power Supply,” by Zaki Moussaoui, Brian L. Allen, and Larry G. Pearce, U.S. patent application Ser. No. 10/961,950;

“Apparatus and Method for Fixed-Frequency Control in a Switching Power Supply,” by Zaki Moussaoui, U.S. patent application Ser. No. 10/962,823, now U.S. Pat. No. 7,091,708; and

“Apparatus and Method for State-Variable Synthesis in a Switching Power Supply,” by Zaki Moussaoui, U.S. patent application Ser. No. 10/961,439.

TECHNICAL FIELD OF THE INVENTION

The present invention relates to the field of switching power supplies. More specifically, the present invention relates to the field of multiphase switching power supplies that utilize a comprehensive feedback signal and transient control.

BACKGROUND OF THE INVENTION

Modern electronic equipment often requires low-ripple, high-current power sources at low to moderate voltages. Conventional switching power supplies can meet these requirements. In addition, switching power supplies are typically more efficient, lighter, and less expensive than their traditional analog counterparts, all of which are advantages in the modern world.

FIG. 1 shows a simplified schematic diagram of a multiphase system 10 utilizing a conventional buck-converter type of switching power supply 11. Power supply 11 incorporates N double-throw switches 12, where N is an integer greater than one. Each of the N switches 12 couples to its own one of N inductances 13, and alternately connects a first node of its inductance 13 to an input D-C power source 14 and a ground (common) each time that switch 12 is toggled. A capacitance 15 and a load 16 are coupled in parallel between a second node of all N inductances 13 and ground.

Each switch 12 is typically realized as a pair of MOSFETs or other active devices operating as double-throw switch 12, and makes a connection in either throw. For the sake of convention, however, this discussion will assume that a given switch 12 is “on” when it connects its inductance 13 to power source 14 and “off” when it connects its inductance 13 to ground.

When a given switch 12 is on, current flows into its inductance 13. The energy contained in that inductance 13 increases. Current flows from that inductance 13 into capacitance 15 and load 16. The energy contained in capacitance 15 also increases. Load 16 receives its energy primarily from that inductance 13.

When a given switch 12 is off, current flows from its inductance 13 to ground. The energy contained in that inductance 13 decreases. Current flows from capacitance 15 into load 16. Load 16 receives its energy primarily from capacitance 15.

A monitor circuit 17 monitors state variables, such as a voltage across capacitance 15 and a current through each inductance 13, to determine when to toggle each switch 12. A control circuit 18 controls the switching of the N switches 12 in response to the state variables monitored by monitor circuit 17.

Multiphase power supply 11 has N phases 19, where each switch 12 effects one of the N phases 19. Each of the N phases 19 is interleaved with the others. The power dissipated by each switch 12 is a function of the duty cycle of that switch 12. The duty cycle of a given switch 12 is typically maintained at no more than 1/N with N interleaved phases 19. Putting it another way, a symmetrical multiphase system 10 would typically provide approximately N times the current of a single-phase system using the same components for switches 12.

In concept, therefore, there is a significant advantage to multiphase system 10 with a large number of phases 19. However, problems exists with such systems 10 in that, as the number of phases 19 increases, control circuit 18 increases in complexity in order to control and maintain the timing of phases 19. This increase in complexity is reflected in a decrease in reliability and an increase in cost.

One such problem is that each of the N phases 19 should ideally provide approximately the same current. The use of components having typical tolerances may nevertheless result in a wide difference in currents between phases 19, and may result in one switch 12 carrying excessive current. This necessitates that a typical control circuit 18 must manage the individual phase currents, as well as the collective current and the phase timing.

Conventionally, a linear controller is used for control circuit 18. This is a complex circuit requiring inputs from at least N+1 state variables. Moreover, the parameters of a linear controller are tightly matched with the parameters of inductances 13, capacitance 15, and load 16. This often necessitates a change in the controller itself whenever there is even a slight change in inductances 13, capacitance 15, and/or load 16. Consequently, costs associated with control circuit 18 when realized as a linear controller may initially be undesirably high and may be exacerbated by the inability of control circuit 18 to accommodate changes in inductances 13, capacitance 15, and/or load 16.

Control circuit 18 may be realized as a hysteretic controller. Conventional implementations of hysteretic controllers, however, are unsuitable for multiphase systems 10. Even in single-phase systems, hysteretic controllers characteristically exhibit poor performance. This poor performance is due, at least in part, to the inherent lag between the voltage across capacitance 15 and the current through inductances 13. In addition, the switching frequency of switch 12 is dependent upon load 16. That is, the switching frequency will vary as load 16 varies.

Control circuit 18 for system 10 may also be realized as a sliding-mode controller, which may also be viewed as a form of second-order hysteretic controller. Conventional implementations of sliding-mode controllers are also considered unsuitable for multiphase systems 10, but might offer improvements in performance over hysteretic controllers in single-phase systems. With conventional sliding-mode controllers, however, the switching frequency is still dependent upon load 16.

Moreover, simply scaling hysteretic or sliding-mode controllers to manage the phase currents of inductances 13, the collective current, and the phase timing for switches 12 in multiphase system 10 produces no significant improvement in complexity over liner controllers, and does not address the problems of reliability and cost.

Conventional hysteretic and sliding-mode control circuits 18 used in conventional power supplies 11 have switching frequencies that are a function of load 16. That means, as load 16 changes, the switching frequency changes. Since a ripple frequency across capacitance 15, and hence across load 16, is directly related to the switching frequency, changes in load 16 bring about changes in the ripple frequency. The ripple frequency present at load 16 may cause harmonic and/or intermodulation interference with whatever electronic device serves as load 16. Were the ripple frequency to be constant, then the ripple frequency may be chosen to exist in an area of the spectrum to which load 16 is insensitive. Alternatively, relatively simple filtration within load 16 may be used to suppress the effects of the ripple frequency. Allowing ripple frequency to vary makes it difficult to ignore or suppress these effects.

Another problem exists with conventional multiphase switching power supplies utilizing either a hysteretic or sliding-mode control circuit 18 in that, under certain conditions, sudden shifts in load 16 may cause a given switch 12 to enter a lockup condition, i.e., to remain on for an excessive length of time. Under such circumstances, that switch 12 is in danger of exceeding its tolerances and failing. Specifically, the current through that switch 12 for that excessive length of time may cause that switch 12 to exceed its power rating, and may thereby cause a catastrophic failure of that switch 12.

There is a need, therefore, for a switching power supply that has a control circuit that is simple, reliable, and inexpensive, requires a minimal number of state variables, maintains substantially equal current through all inductances, is substantially independent of the tolerances of its components, is immune to variations in the load, is tolerant of switch lockup conditions, and is suitable for multiphase systems.

SUMMARY OF THE INVENTION

Accordingly, it is an advantage of the present invention that an apparatus and method for transient control in a multiphase switching power supply are provided.

It is another advantage of the present invention that a multiphase switching power supply is provided that has a control circuit that is simple, reliable, and inexpensive.

It is another advantage of the present invention that a multiphase switching power supply is provided that requires no more than two state variables, regardless of the number of phases.

It is another advantage of the present invention that a multiphase switching power supply is provided that is substantially independent of component tolerance.

It is another advantage of the present invention that a multiphase switching power supply is provided that is tolerant of switch lockup conditions.

It is another advantage of the present invention that a power supply is provided that incorporates transient control to keep switch power dissipation within tolerances.

The above and other advantages of the present invention are carried out in one form by a method of operating a transient-controlling multiphase switching power supply having N phases, where N is an integer greater than one. The method incorporates generating a comprehensive feedback signal from no more than two state variables of the power supply, translating the comprehensive feedback signal into a stream of switching pulses, ascertaining a duration of each of the switching pulses in the stream of switching pulses, adjusting the stream of switching pulses when the ascertaining activity ascertains one of the switching pulses exceeds a predetermined duration, switching N switches in response to the stream of switching pulses, and effecting one of the N phases with each of the N switches.

The above and other advantages of the present invention are carried out in another form by a transient-controlling multiphase switching power supply having N phases, where N is an integer greater than one, N switches configured to be coupled to a bipolar power source, N inductances, wherein each of the N inductances is coupled to one of the N switches, a capacitance coupled to each of the N inductances and configured to be coupled across a load, a feedback-signal generator coupled to the capacitance and configured to generate a comprehensive feedback signal in response to from no more than two state variables of the power supply, a pulse-width-modulation (PWM) generator coupled to the comprehensive feedback-signal generator and configured to translate the feedback signal into a stream of switching pulses, a transient control coupled to the PWM generator and configured to adjust the stream of switching pulses upon detection of an out-of-range one of the switching pulses, and a phase selector coupled to the N switches, coupled to the PWM generator, and configured to switch the N switches in response to the stream of switching pulses so that each of the N switches effects one of the N phases.

BRIEF DESCRIPTION OF THE DRAWINGS

A more complete understanding of the present invention may be derived by referring to the detailed description and claims when considered in connection with the Figures, wherein like reference numbers refer to similar items throughout the Figures, and:

FIG. 1 shows a simplified schematic diagram of a multiphase system utilizing a prior-art switching power supply;

FIG. 2 shows a simplified schematic diagram of a single-phase or multiphase system in accordance with a preferred embodiment of the present invention;

FIG. 3 shows a block diagram of a monitor circuit for the power supply of FIG. 2 in accordance with a preferred embodiment of the present invention;

FIG. 4 shows a block diagram of a control circuit for the power supply of FIG. 2 in accordance with a preferred embodiment of the present invention;

FIG. 5 shows a phase plot depicting a sliding surface and a variable window therefor in accordance with a preferred embodiment of the present invention;

FIG. 6 shows a simplified block diagram of a transient control for the control circuit of FIG. 4 in accordance with a preferred embodiment of the present invention; and

FIG. 7 shows a chart depicting the switching of each of N switches for the N phases of the power supply of FIG. 2 in accordance with a preferred embodiment of the present invention.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

FIG. 2 shows a simplified schematic diagram of a multiphase system 20 including a D-C power source 22 coupled to a switching power supply 24, which is coupled to a load 26. The following discussion refers to FIG. 2.

System 20 is made up of power source 22, power supply 24, and load 26. Power source 22 is configured to provide D-C energy in a first form as input energy to power supply 24. This input energy consists of an input voltage V_(In) at an input current I_(In). Power source 22 may be a battery, an A-C to D-C converter, a solar array, a generator, an alternator, or any other source of suitable D-C energy.

Load 26 demands D-C energy in a second form as output energy from power supply 24. This output energy consists of an output voltage V_(Out) at an output current I_(Out). Load 26 may be any electronic device, but is often a computing device or a communications device, e.g., a computer, a communications satellite, cellular equipment, or the like.

Power supply 24 is coupled between power source 22 and load 26, and is configured to convert D-C energy from the first form supplied by power source 22 into the second form required by load 26.

The parameters of load 26 may change, often abruptly, and often significantly. For example load 26 may be or include a computer having a processor demanding a significant current, as well as auxiliary devices, e.g., a motor and/or a subprocessor, either of which also demands significant current, and either or both of which may be instantaneously activated or deactivated to fulfill a given task. Such changes may result in transients, i.e., abrupt and significant shifts in output current I_(Out). Being abrupt, these transients affect output current I_(Out) dynamically (i.e., during the change) and statically (after the change). From a dynamic (A-C) perspective, load 26 may be said to have an impedance Z, where the dynamic value of output current I_(Out) at a given instant is:

$\begin{matrix} {I_{Out} = {\frac{V_{Out}}{Z}.}} & (1) \end{matrix}$ From a static (D-C) perspective, impedance Z includes a resistance R, where the static value of output current I_(Out) at a given time is:

$\begin{matrix} {I_{Out} = {\frac{V_{Out}}{R}.}} & (2) \end{matrix}$

Those skilled in the art will appreciate that, since it is often nearly impossible to predict the energy demands of load 26 for any given point in time, power source 22 and power supply 24 are normally designed to meet a range of output energy demands, from a predetermined minimum to a predetermined maximum, thereby encompassing the requirements of load 26.

In the preferred embodiment, power supply 24 is a sliding-mode switching power supply 24 (i.e., a second-order hysteretic switching power supply) configured to receive D-C input voltage V_(In) from power source 22 and to supply D-C output voltage V_(Out) to load 26.

Power supply 24 is configured to divide input voltage V_(In) into N phases 28, where N is a positive integer greater than one. Power supply 24 contains N switches 30, where each switch 30 effects one of the N phases 28. The N switches 30 are coupled to N inductances 32 in a one-to-one correspondence. Each switch 30 alternately connects its particular inductance 32 between power source 22 and a common or ground 34. All N inductances 32 couple to a capacitance 36. Load 26 couples to the N inductances 32 and across capacitance 36.

Switches 30 are typically realized as pairs of MOSFETs or other active devices operating as double-throw switches 30, and make connections in either throw. For the sake of convention, however, this discussion will assume that a given switch 30 is “on” when it connects its inductance 32 to power source 22 and “off” when it connects its inductance 32 to ground 34.

FIG. 3 shows a block diagram of a monitor circuit 38 in accordance with a preferred embodiment of the present invention. The following discussion refers to FIGS. 2 and 3.

FIG. shows a block diagram of a monitor circuit 38 in accordance with a preferred embodiment of the present invention. The following discussion refers to FIGS. 3 and 4.

In the preferred embodiment, monitor circuit 38 is coupled to each of the N inductances 32 and to capacitance 36. Monitor circuit 38 monitors state variables for power supply 24. As a minimum, monitor circuit 38 monitors a capacitive voltage V_(C) (i.e., a voltage across capacitance 36). Since capacitance 36 is coupled directly across load 26, capacitive voltage V_(C) is also output voltage V_(Out).

If, as in the preferred embodiment, monitor circuit 38 monitors nothing more than output voltage V_(Out), monitor circuit 38 may be implemented as nothing more than a conductor coupling capacitance 36 to a control circuit 40. In alternative embodiments, however, monitor circuit 38 may include sensing devices, shown as dotted-line circles in FIG. 3, to monitor inductive currents I_(L1) through I_(LN) flowing through each of inductances 32, a capacitive current I_(C) flowing through capacitance 36, or output current I_(Out) flowing through load 26.

FIG. 4 shows a block diagram of control circuit 40 configured in accordance with a preferred embodiment of the present invention. The following discussion refers to FIGS. 2, 3, and 4.

Control circuit 40 incorporates a first state-variable generator 42, a second state-variable generator 44, a feedback-signal generator 46, a pulse-width-modulation (PWM) generator 48, a transient control 52, and a phase selector 50. Each of these components of control circuit 40 is discussed in detail hereinafter.

Control circuit 40 causes power supply 24 to provide output voltage V_(Out) and output current I_(Out) required by load 26. This is accomplished by controlling the timing of the outputs 54 of phase selector 50, which couple to the N switches 30. Control circuit 40 therefore controls the switching of the N switches 30 to produce the N phases 28.

In a preferred embodiment, control circuit 40 receives output voltage V_(Out), which is also capacitive voltage V_(C), from monitor circuit 38. Output voltage V_(Out) is routed to first state-variable generator 42.

Within first state-variable generator 42, output voltage V_(Out) is subtracted from a reference voltage V_(Ref) by a subtraction circuit 56. Subtraction circuit 56 may be implemented as a simple difference amplifier, though this is not a requirement of the present invention.

Desirably, reference voltage V_(Ref) is a constant value during normal operation, and is equal to the desired voltage to be produced by power supply 24. Reference voltage V_(Ref) need supply only a small amount of current, and can therefore be easily generated to a desired accuracy using a wide variety of techniques well known to those skilled in the art.

An output of subtraction circuit 56 is the difference between reference voltage V_(Ref) and output voltage V_(Out). The output of subtraction circuit 56 is therefore an analog error voltage V_(E) that represents a difference between output voltage V_(Out) (the actual output voltage) and reference voltage V_(Ref) (the desired output voltage). Thus, during normal operation any deviation of output voltage V_(Out) from reference voltage V_(Ref) represents an error from the desired voltage in the amount of the deviation.

An analog-to-digital (A/D) converter 58 then converts analog error voltage V_(E) into a digital error voltage x₁: x ₁ =V _(E) =V _(Out) −V _(Ref).  (3) This digital error voltage x₁ is a first (voltage) state variable x₁ of power supply 24.

It will be appreciated by those skilled in the art that in alternative embodiments other signals from monitor circuit 38 may be routed to first state-variable generator 42 for processing in other manners not discussed herein. These embodiments are represented by a dotted line 60 in FIG. 4. Such an alternative signal may correspond to output current I_(Out) flowing through load 26, correspond to capacitive current I_(C) flowing through capacitance 36, or independently correspond to inductive currents I_(L1) through I_(LN) flowing in one or more of inductances 32. The use of these or other alternative signals does not depart from the spirit of the present invention. In the preferred embodiment, however, collective and individual inductive currents are estimated from first state variable x₁, as discussed in more detail hereinafter.

In the preferred embodiment, A/D converter 58 is a small (4-bit), fast (50 MHz) converter. This is a simple and inexpensive approach. Those skilled in the art will appreciate that other A/D converters may be used without departing from the spirit of the present invention.

Subsequent to A/D converter 58, the circuits and functions of control circuit 40 may be implemented using digital hardware logic and/or microprocessor circuits, the design and logic of which can vary widely from application-to-application but which can be readily adapted by those skilled in the digital electronic arts.

In the preferred embodiment, first state variable x₁, derived from output voltage V_(Out), is the only state variable that needs to be derived directly from a physically monitored parameter of power supply 24. Any other state variable is derived by calculation from first state variable x₁.

First state variable x₁ is output from first state-variable generator 42 and routed to second-state-variable generator 44 and feedback-signal generator 46. Within second state-variable generator 44, first state variable x₁ passes to an inductive-current generator 62. Inductive-current generator 62 calculates a second state variable x₂ as an error rate x₂ (i.e., a rate of error voltage x₁) by extracting the derivative of first state variable x₁ over time:

$\begin{matrix} {x_{2} = {\frac{\mathbb{d}x_{1}}{\mathbb{d}t} = {\frac{\mathbb{d}V_{Out}}{\mathbb{d}t} = {\frac{I_{C}}{C}.}}}} & (4) \end{matrix}$ This is equivalent to taking the derivative of output voltage V_(Out) over time, and is substantially equal to capacitive current I_(C) divided by a value C of capacitance 36.

Inductive-current generator 62 also derives signals representing each of inductive currents I_(L1) through I_(LN), which signals are effectively synthesized inductive currents. Inductive-current generator 62 derives a first synthesized inductive current representing a first inductive current I_(L1) through a first inductance 32′ during a first phase 28′, a second synthesized inductive current representing a second inductive current I_(L2) through a second inductance 32″ during a second phase 28″, and so on through an N^(th) synthesized inductive current representing an N^(th) inductive current I_(LN) through an N^(th) inductance 32 ^(N) during an N^(th) phase 28 ^(N). Each synthesized inductive current represents one of the N inductive currents I_(L1) through I_(LN). Therefore, this discussion refers to either synthesized or physical inductive currents as inductive currents I_(L1) through I_(LN).

Inductive-current generator 62 may receive a signal from phase selector 50 (discussed hereinafter) to identify the currently active phase 28.

Those skilled in the art will appreciate that it is not necessary for inductive-current generator 62 to generate signals that equal inductive currents I_(L1) through I_(LN) as long as the signals generated bear the same relationships to each other as do inductive currents I_(L1) through I_(LN).

In an alternative embodiment, inductive current generator 62 may directly receive one or more of inductive currents I_(L1) through I_(LN) from A/D converter 58, or may associate output current I_(Out) with the currently active phase 28 to parse out inductive currents I_(L1) through I_(LN) for each phase 28.

Feedback-signal generator 46 generates a single feedback signal σ. Moreover, feedback-signal generator 46 produces single feedback signal σ from no more than two state variables of power supply 24, error voltage x₁ and error rate x₂. In the preferred embodiment, single feedback signal σ controls all N phases 28. Accordingly, single feedback signal σ is a comprehensive feedback signal σ because it influences all N phases 28 of multiphase power supply 24.

FIG. 5 shows a phase plot depicting a sliding surface σ and a variable window Δσ therefor in accordance with a preferred embodiment of the present invention. The following discussion refers to FIGS. 2, 3, 4, and 5.

In the preferred embodiment, feedback-signal generator 46 within control circuit 40 is a sliding-surface generator 78 that generates comprehensive feedback signal σ in the form of a single sliding surface σ. By generating comprehensive feedback signal σ as single sliding surface σ, the number of state variables required by feedback-signal generator 46 may be kept to a minimum (i.e., two: one monitored, one calculated) regardless of the number N of phases 28. This small number of state variables is desirable because it leads away from the rapidly expanding complexity encountered in conventional multiphase power supplies that monitor N+1 state variables to control N phases 28. The use of a small number of state variables therefore improves reliability and decreases expense over traditional methodologies.

Hereinafter in this discussion, feedback-signal generator 46 and feedback signal σ are referred to as sliding-surface generator 78 and sliding surface σ, respectively. Sliding-surface generator 78 is discussed in more detail hereinafter.

FIG. 5 depicts the state variables as error voltage x₁ on the horizontal axis and error rate x₂ (i.e., synthesized current) on the vertical axis. As such, FIG. 6 depicts the operation of power supply 24 as defined by its state variables x₁ and x₂. Two spirals are depicted on the horizontal axis, with one spiral centered about a positive value where: x ₁ =V _(Out) −V _(Ref) , x ₂=0,  (5) and another spiral centered around a negative value where: x₁=−V_(Ref), x₂=0.  (6) The positive-value spiral depicts an exemplary track state variables x₁ and x₂ might follow if switches 30 were continuously on, and the negative-value spiral depicts an exemplary track state variables x₁ and x₂ might follow if switches 30 were continuously off. Of course, switches 30 are neither continuously on nor continuously off, but are switched on and off with the goal of maintaining a value of the state variables where: x₁=0, x₂=0.  (7) It is a task of sliding-surface generator 78 to identify when such switching should take place, although sliding surface σ generated by sliding-surface generator 78 may be adjusted as discussed herein by a current-balance control 80 and a variable-window generator 82.

Sliding-mode controls are known to those skilled in the art. Sliding-surface generator 78 is a sliding-mode control that has been adapted for use with power supply 24. In the preferred embodiment, sliding-surface generator 78 generates single sliding surface σ as a function: σ=α·x ₁ +x ₂,  (8) where α is a constant. First state variable (error voltage) x₁ is a monitored voltage state variable, and second state variable (error rate) x₂ is a derived (synthesized) current state variable.

The goals used in establishing this relationship are known to those skilled in the art of sliding-mode controls. In general, error voltage x₁, error rate x₂ (the rate of change of error voltage x₁ over time), and even the acceleration of error voltage x₁ in time may all be taken into account in defining sliding surface σ. Of course, those skilled in the art will appreciate that sliding surface σ is an idealized result. In practice, the state of power supply 24 will seldom be precisely on sliding surface σ. Rather, switches 30 are controlled so that future operation of power supply 24 will, (except for the operations of current-balance control 80 and variable-window generator 82), be directed toward sliding surface σ and the origin of the phase plot shown in FIG. 5. By thus controlling the activation and deactivation of switches 30, the operation of power supply 24, as demonstrated by its state variables x₁ and x₂, will tend to “slide” along sliding surface σ.

In the preferred embodiment, constant α has a range:

$\begin{matrix} {{0 \leq \alpha \leq \frac{1}{\tau}},} & (9) \end{matrix}$ where τ is a time constant: τ=R·C,  (10) where C is the value of capacitance 36 and R is the resistance of load 26 (i.e., the resistive component of load impedance Z).

As discussed hereinbefore in conjunction with equations (3) and (4), first state variable (error voltage) x₁ represents a difference between output voltage V_(Out) and reference voltage V_(Ref), and second state variable (error rate) x₂ represents a rate of change of first state variable x₁ and is the derivative thereof.

By physically measuring only first state variable x₁ and simulating second state variable x₂ from first state variable x₁, only a single sliding surface (comprehensive feedback signal) σ is required to control any number N of phases 28. Moreover, by refraining from physically measuring a current state variable, no lossy current-measuring devices are required. This further improves reliability and decreases cost in addition to improving efficiency.

Sliding-surface generator 78 generates sliding surface σ, a signal that summarizes and describes the operating state of power supply 24. Those skilled in the art will appreciate that sliding surface σ may also be called a sliding or switching line, curve, plane, or hyperplane in other sliding-mode control applications.

PWM generator 48 is coupled to feedback-signal generator 46. PWM generator 48 is configured to translate single sliding surface σ into a PWM signal 84 consisting of a stream of switching pulses 86. Phase selector 50 (discussed hereinafter) routes different switching pluses 86 within PWM signal 84 to different switches 30.

The following discussion refers to FIGS. 2 and 4.

Within PWM generator 48, optional current-balance control 80 adjusts sliding surface σ and alters it into an adjusted sliding surface σ′. Current-balance control 80 receives signals from inductive-current generator 62 corresponding to inductive currents I_(L1) through I_(LN) flowing in each of inductances 32.

Current-balance control 80 receives inputs that correspond to the N inductive currents I_(L1) through I_(LN) for each phase 28. For an M^(th) one of the N phases 28, where M is an integer in the range 1≦M≦N, the M^(th) inductive current I_(LM) is a current through an M^(th) one of the N inductances 32 coupled to an M^(th) one of the N switches 30 effecting the M^(th) phase 28. Since the M^(th) inductive current I_(LM) is germane only to the M^(th) phase 28, the M^(th) inductive current I_(LM) is a phase current for that M^(th) phase 28.

It is desirable that all of the N inductive currents I_(L1) through I_(LN) be substantially equal so that power supply 24 can supply the maximum current within the capacity of a given set of switches 30, thereby maximizing overall efficiency and reliability. Current-balance control 80 computes a summary statistic I_(X) (not shown) as a reference current for the N inductive currents I_(L1) through I_(LN). In the preferred embodiment, summary statistic I_(X) is desirably an arithmetic mean of the N inductive currents I_(L1) through I_(LN):

$\begin{matrix} {I_{X} = {\frac{I_{L1} + I_{L2} + \ldots + I_{L\; N}}{N}.}} & (11) \end{matrix}$ Those skilled in the art will appreciate that this is not a requirement of the present invention, and that summary statistic I_(X) may be other than the arithmetic mean without departing from the spirit of the present invention.

For each phase 28, current-balance control 80 then computes an error current I_(E) (not shown) as a difference between summary statistic I_(x) and an inductive current I_(L) for that phase 28: I _(E) =I _(Ref) −I _(L).  (12) For each M^(th) phase 28, current-balance control 80 then alters sliding surface σ into adjusted sliding surface σ′ so that inductive current I_(L) for that phase 28 is substantially equal to summary statistic I_(X).

In particular, current-balance control 80 adds an offset proportional to error current I_(E) (not shown) to sliding surface σ when a given phase 28 has been providing inductive current I_(L) not equal to summary statistic I_(X). The provided offset will make adjusted sliding surface σ′ slightly different from sliding surface σ, and the operation of power supply 24 for that phase 28 will slide along adjusted sliding surface σ′. In this manner, all phase currents I_(L1) through I_(LN) are rendered substantially equal.

Current-balance control 80 is a desirable but optional component in control circuit 40. This discussion assumes the presence of current-balance control 80. If current-balance control 80 is omitted, then sliding surface σ is not adjusted to become adjusted sliding surface σ′, and any mention of sliding surface σ hereinafter also applies to adjusted sliding surface σ′.

The following discussion refers to FIGS. 2, 4, and 5.

Adjusted sliding surface σ′ is routed to a translation circuit 102 configured to convert adjusted sliding surface σ′ into PWM signal 84, wherein PWM signal 84 consists of a stream of switching pulses 86 at substantially a switching frequency f_(S). In the preferred embodiment, translation circuit 102 is realized as a constant-frequency control, which serves to maintain switching frequency f_(S) substantially constant. Those skilled in the art will appreciate, however, that this is not a requirement of the present invention. Other methodologies may be used to realize translation circuit 102, such as a simple comparator circuit (not shown) well known to those skilled in the art, without departing from the spirit of the present invention.

Within translation circuit 102, variable-window generator 82 generates variable window Δσ as a width of sliding surface σ. Switching frequency f_(S) is a function of a width of variable window Δσ. That is, as variable window Δσ narrows, switching frequency f_(S) increases, and vice-versa. Variable window Δσ therefore serves to control switching frequency f_(S).

Variable-window generator 82 is configured to compare sliding surface σ to two offset values. In particular, variable-window generator 82 bifurcates sliding surface σ. Whenever operation greater than a high threshold 106 of sliding surface σ is detected, variable-window generator 82 activates, causing a switch 30 to switch on. This effects one of the N phases 28. Whenever operation less than a low threshold 108 of sliding surface σ is detected, variable-window generator 82 deactivates, causing the currently active switch 30 to switch off. Those skilled in the art will appreciate that other methodologies for the operation of variable-window generator 82 may be used without departing from the spirit of the present invention.

FIG. 5 also depicts an exemplary oscillating sliding signal 110 between the limits of high threshold 106 and low threshold 108. Sliding signal 110 depicts the operation of power supply 24, as defined by its state variables x₁ and x₂, as it slides along sliding surface σ. Oscillation results from switching switches 30 at switching frequency f_(S). Thus, the oscillation frequency of sliding signal 110 tracks switching frequency f_(S).

Switching frequency f_(S) produces a ripple frequency f_(R) across capacitance 36, and therefore across load 26. It is desirable that ripple frequency f_(R) be substantially fixed or constant so that any interference and/or harmonic effects produced thereby may more easily be suppressed within the electronic device serving as load 26. A constant predetermined frequency f_(P) (not shown) serves as an ideal or target ripple frequency f_(R). That is, power supply 24 in general, and translation circuit 102 in particular, maintain switching frequency f_(S), and therefore ripple frequency f_(R), substantially equal to constant predetermined frequency f_(P).

Within translation circuit 102, a reference generator 112 generates a fixed reference frequency f_(X), and a frequency comparator 114 compares switching frequency f_(S) against reference frequency f_(X) to produce a frequency error E_(f). Frequency error E_(f) is applied to variable-window generator 82. Variable-window generator 82 forms and/or adjusts variable window Δσ in response to frequency error E_(f).

FIG. 6 shows a block diagram of transient control 52 for control circuit 40 and FIG. 7 shows a chart depicting the distribution and switching of switching pulses 86 to each of switches 30 for the N phases 28 in accordance with a preferred embodiment of the present invention. For the sake of simplicity, FIG. 7 assumes N phases 28 where N=3 (i.e., three phases 28). Those skilled in the art will appreciate that this is exemplary only, and that N may be any desired integer greater than one. The following discussion refers to FIGS. 2, 3, 4, 5, 6, and 7.

A transient 120 may occur in response to a sudden and/or significant change in load 26. Under certain conditions, transient 120 may drive power supply 24 into a lockup condition for an undesirably long transient duration 122. Eventually, the lockup condition will clear, even when inductances 32, capacitance 36, and/or load 26 are vastly mismatched and/or vary widely from design ideals.

During transient 120, feedback-signal generator 46 may output sliding surface σ that might, when further processed by translation circuit 102, instruct the switch 30 effecting the currently active phase 28 to remain in its on condition. This may lead to a failure of that switch 30, and is therefore undesirable.

PWM signal 84 is output from PWM generator 48, and input to transient control 52. Within transient control 52, PWM signal 84 is modified to become a modified PWM signal 124. Modified PWM signal 124 is configured to regulate a switch lockup duration 126, i.e., the duration of a lockup condition of any given switch 30, due to transient 120 from load 26. By regulating switch lockup duration 126, transient control 52 inhibits potential damage to that switch 30, and to power supply 24, regardless of the length of transient duration 122.

In the event of a lockup condition, transient control 52 causes the currently active phase 28 to terminate and the next phase 28 to commence after a predetermined duration. In other words, transient control 52 causes switches 30 to be switched from the currently active phase 28 to the next phase 28. Lockup is thereby tolerated.

Within transient control 52, a duration clock 128 generates clock pulses (not shown) at a clock frequency f_(C), where clock frequency f_(C) is much greater than the anticipated switching frequency f_(S). A duration counter 130 is coupled to duration clock 128 and configured to count the pulses generated thereby.

Each switching pulse 86 in PWM signal 84 normally has an established duration determined by single sliding surface σ and translation circuit 102. Transient 120 represents a radical departure from the norm, imposing transient duration 122 upon a given switching pulse 86.

In the preferred embodiment, PWM signal passes through a gating circuit 132 and to duration counter 130. Duration counter 130 is initialized by a leading edge of each switching pulse 86 in PWM signal 84. Duration counter 130 then counts the clock pulses from duration clock 128 until either a trailing edge of switching pulse 86 is reached, or duration counter 130 reaches a predetermined count (not shown). If duration counter 130 reaches the predetermined count, then duration counter 130 issues an additional switching pulse 134. Gating circuit 132 integrates any additional switching pulse 134 from duration counter into PWM signal 84 to produce modified PWM signal 124. In this manner, transient control 52 determines if the duration of a given switching pulse 86 is excessive, i.e., if there is a potential lockup condition.

More specifically, where M is an integer in the range 1≦M≦N, and where, when M=N, (M+1)=1, PWM signal 84 passes an M^(th) switching pulse 86 through gating circuit 132 to duration counter 130 and phase selector 50 (discussed hereinafter). Phase selector 50 activates an M^(th) switch 30 and effects an M^(th) phase 28. The M^(th) switching pulse 86 initializes duration counter 130. Duration counter 130 then counts clock pulses from duration clock 128.

If the M^(th) switching pulse 86 terminates before duration counter 130 reaches the predetermined count, then duration counter 130 stops counting the clock pulses. Phase selector 50 remains in the M^(th) phase 28 until PWM signal 84 passes an (M+1)^(th) switching pulse 86 and recommences the process.

If duration counter 130 reaches the predetermined count before the M^(th) switching pulse 86 terminates, then duration counter 130 issues additional switching pulse 134 to phase selector 50 through gating circuit 132. That is, duration counter 130 adds additional switching pulse 134 to modified PWM signal 124. Additional switching pulse 134 becomes an (M+1)^(th) switching pulse 86 and causes phase selector 50 to activate an (M+1)^(th) switch 30 and effect an (M+1)^(th) phase 28.

In addition, additional switching pulse 134 is also passed to duration counter 130, which is then initialized and again counts clock pulses from duration clock 128.

This process iterates until the M^(th) switching pulse 86 passed by PWM signal 84 terminates, at which time duration counter 130 stops counting and operation of power supply 24 returns to normal.

By forcing a change from the M^(th) to the (M+1)^(th) phase 28, any potential lockup condition of any switch 30 causes by transient 120 in load 26, or by any other condition, is averted. The predetermined count for duration counter 130, i.e., the maximum switch lockup duration 126 of any switching pulse 86, is selected so that no switch 30 remains on for a time sufficient to cause overheating or other damage.

Duration counter 130 may be an up-counter, in which case the initialization may set the count to zero and duration counter 130 then counts up to the predetermined count. Alternatively, duration counter 130 may be a down-counter, in which case the initialization may set the count to the predetermined count and duration counter then counts down to zero. Those skilled in the art will appreciate that the type of counter used for duration counter 130 is not germane, only the counting of a predetermined number of clock pulses is germane. The use of any specific form of counter does not depart from the spirit of the present invention.

Modified PWM signal 124 output from transient control effectively replaces PWM signal 84 output from PWM generator 48. For the remainder of this discussion, any reference to PWM signal 84 is assumed to be a reference to modified PWM signal 124.

FIG. 7 shows a chart depicting the distribution and switching of switching pulses 86 to each of switches 30 for the N phases 28 in accordance with a preferred embodiment of the present invention. For the sake of simplicity, FIG. 7 assumes N phases 28 where N=3 (i.e., three phases 28). Those skilled in the art will appreciate that this is exemplary only, and that N may be any desired integer greater than one. The following discussion refers to FIGS. 2, 3, 4, and 7.

Within phase selector 50, PWM signal 84 is routed to a phase counter 136. Phase counter 136 identifies which of the N phases 28 is to be active at any given point in time. Desirably, phase counter 136 “counts” once for each switching pulse 86 in PWM signal 84, cycling as required. For example, in a three-phase application (i.e., where N=3, as in FIG. 7), phase counter 136 may count from zero to two, then on the receipt of the next switching pulse from PWM signal 84 be reset back to zero.

In the preferred embodiment, phase counter 136 is realized as a ring counter. Those skilled in the art will appreciate that this is not a requirement of the present invention, and that other embodiments of phase counter 136 may be used without departing from the spirit of the present invention.

Output from phase counter 136 are provided to a switching circuit 138, as well as to inductive-current generator 62 and to current-balance control 80 as discussed hereinbefore. This allows inductive-current generator 62 and current-balance control 80 to coordinate their activities with the currently active phase 28.

Switching circuit 138 sequentially distributes switching pulses 86 from PWM signal 84 to the control inputs of the N switches 30. Accordingly, the output from phase counter 136 identifies the target switch 30 to be switched on or off, and PWM signal 84 provides the timing for the switch-on and switch-off events. Signals 54 from switching circuit 138 couple to control inputs of each of switches 30 in each of phases 28. That is, a first signal 54′ is coupled to the control inputs of a first switch 30′ to effect first phase 28′, a second signal 54″ is coupled to the control inputs of a second switch 30″ to effect second phase 28″, and so forth until an N^(th) signal 54 ^(N) is coupled to the control inputs of an N^(th) switch 30 ^(N) to effect the N^(th) phase 28 ^(N).

Collectively, switches 30 then switch at switching frequency f_(S). For an M^(th) one of the N phases 28, switching circuit 138 switches from an M^(th) to an (M+1)^(th) switch 30 under the control of phase counter 136.

In the preferred embodiment, switching circuit 138 may be implemented using a relatively simple decoding circuit (not shown) well known to those skilled in the art. It will be appreciated, however, that alternative implementations of switching circuit 138 may be used without departing from the spirit of the present invention.

In summary, the present invention teaches an apparatus and method for transient control in a multiphase switching power supply 24. Power supply 24 has a control circuit 40, suitable for multiphase systems 20, that is simple, reliable, and inexpensive, and requires only two state variables x₁ and x₂, regardless of the number N of phases 28. Power supply 24 is substantially independent of component tolerance, is tolerant of lockup conditions of switches 30, and incorporates a transient control 52 to keep switch power dissipation within tolerances.

Although the preferred embodiments of the invention have been illustrated and described in detail, it will be readily apparent to those skilled in the art that various modifications may be made therein without departing from the spirit of the invention or from the scope of the appended claims. 

1. A method of operating a transient-controlling multiphase switching power supply having N phases, where N is an integer greater than one, said method comprising: generating a comprehensive feedback signal from no more than two state variables of said power supply; translating said comprehensive feedback signal into a stream of switching pulses; ascertaining a duration of each of said switching pulses in said stream of switching pulses; adjusting said stream of switching pulses when said ascertaining activity ascertains one of said switching pulses exceeds a predetermined duration; switching N switches in response to said stream of switching pulses; and effecting one of said N phases with each of said N switches.
 2. A method as claimed in claim 1 additionally comprising: monitoring an output voltage of said power supply; deriving a first one of said two state variable of said power supply in response to said monitoring activity; and synthesizing a second one of said two state variable of said power supply in response to said deriving activity.
 3. A method as claimed in claim 2 wherein said deriving activity comprises: generating a fixed reference voltage; and subtracting said output voltage from said fixed reference voltage to derive said first state variable.
 4. A method as claimed in claim 2 wherein said synthesizing activity comprises extracting a derivative of said first state variable over time to synthesize said second state variable.
 5. A method as claimed in claim 1 wherein said generating activity generates said comprehensive feedback signal as a single sliding surface for said N phases, said sliding surface having a value αx₁+x₂, where: α is a constant greater than 0; x₁ is a first one of said two state variables; and x₂ is a second one of said two state variables.
 6. A method as claimed in claim 1 additionally comprising: generating signals corresponding to said N inductive currents in response to said monitoring activity, wherein said signals are N synthesized inductive currents; and adjusting said comprehensive feedback signal for each of said N phases so that said N synthesized inductive currents are rendered more closely equal.
 7. A method as claimed in claim 1 wherein: said translating activity comprises generating said switching pulses at a rate that defines a switching frequency at which said switching circuit collectively switches said N switches; and said switching activity comprises distributing said pulses sequentially among said N switches.
 8. A method as claimed in claim 1 wherein: said comprehensive feedback signal is a sliding surface; said method additionally comprises forming a variable window for said sliding surface in response to said generating activity; said translating activity translates said sliding surface into said stream of switching pulses at a substantially constant switching frequency in response to said generating and forming activities; and said switching activity switches said N switches at said substantially constant switching frequency.
 9. A method as claimed in claim 8 wherein said forming activity comprises: generating a reference frequency; comparing said substantially constant switching frequency to said reference frequency; and maintaining said substantially constant switching frequency substantially constant by adjusting said substantially constant switching frequency in response to said comparing activity.
 10. A method as claimed in claim 1 wherein: said ascertaining activity comprises: receiving one of said switching pulses in said stream of switching pulses; initiating a duration counter at a beginning of said one switching pulses; and counting clock pulses in said duration counter for a duration of said one switching pulse; and said adjusting activity comprises injecting an additional switching pulse into said stream of switching pulses if said counting activity reaches a predetermined count.
 11. A method as claimed in claim 10 additionally comprising generating said clock pulses at a clock frequency greater than a frequency of said stream of switching pulses.
 12. A method as claimed in claim 1 wherein: said switching activity switches from a current one to a next one of said N switches upon receipt of one of said switching pulses; and said adjusting activity comprises injecting an additional one of said switching pulses into said stream of switching pulses when said ascertaining activity ascertains said current switch has been active for greater than a predetermined length of time.
 13. A method as claimed in claim 1 wherein said switching activity comprises distributing each of said switching pulses sequentially among said N switches.
 14. A method as claimed in claim 1 wherein said switching activity comprises: switching said N switches collectively at a switching frequency; and switching said N switches individually at N⁻¹ times said switching frequency.
 15. A transient-controlling multiphase switching power supply having N phases, where N is an integer greater than one, said power supply comprising: N switches configured to be coupled to a bipolar power source; N inductances, wherein each of said N inductances is coupled to one of said N switches; a capacitance coupled to each of said N inductances and configured to be coupled across a load; a feedback-signal generator coupled to said capacitance and configured to generate a comprehensive feedback signal in response to o more than two state variables of said power supply; a pulse-width-modulation (PWM) generator coupled to said feedback-signal generator and configured to translate said feedback signal into a stream of switching pulses; a transient control coupled to said PWM generator and configured to adjust said stream of switching pulses upon detection of an out-of-range one of said switching pulses; and a phase selector coupled to said N switches, coupled to said PWM generator, and configured to switch said N switches in response to said stream of switching pulses so that each of said N switches effects one of said N phases.
 16. A power supply as claimed in claim 15 wherein said power supply additionally comprises: a monitor circuit configured to monitor an output voltage of said power supply; and a first state-variable generator coupled to said monitor circuit and configured to generate said first state variable as a difference between said output voltage and a fixed reference voltage equal to an idealized output voltage of said power supply.
 17. A power supply as claimed in claim 16 additionally comprising a second state variable generator coupled to said first state-variable generator and configured to synthesize said second state variable as a derivative of said first state variable over time.
 18. A power supply as claimed in claim 15 wherein said feedback-signal generator comprises a sliding-surface generator configured to generate said comprehensive feedback signal as a single sliding surface for said N phases.
 19. A power supply as claimed in claim 18 wherein said sliding surface has a value αx₁+x₂, where: α is a constant having a value greater than zero; x₁ is a first one of said two state variables; and x₂ is a second one of said two state variables.
 20. A power supply as claimed in claim 19 wherein said constant has a range, 0≦α≦(τ)⁻¹, where τ is a time constant having a value RC, where R is a value of a resistive component said load, and C is a value of said capacitance.
 21. A power supply as claimed in claim 19 wherein: said first state variable has a value V_(Ref)−V_(Out), where V_(Ref) is a value of a reference voltage, and V_(Out) is a value of an output voltage of said power supply; and said second state variable is a derivative of said first state variable over time.
 22. A power supply as claimed in claim 15 wherein: said power supply additionally comprises an inductive current generator configured to synthesize N synthesized inductive currents from said first state variable; and said PWM generator comprises a current-balance control coupled to said feedback signal generator, coupled to said inductive current generator, and configured to adjust said comprehensive feedback signal so that N inductive currents are rendered substantially equal in response to said N synthesized inductive currents, wherein each of said N inductive currents is a current through one of said N inductances.
 23. A power supply as claimed in claim 15 wherein: said PWM generator comprises a constant-frequency control coupled to said feedback-signal generator and configured to produce said stream of switching pulses at a substantially constant frequency; and said phase selector switches said N switches at said substantially constant frequency.
 24. A power supply as claimed in claim 23 wherein: said constant-frequency control comprises a reference generator configured to generate a substantially constant reference frequency; said constant-frequency control additionally comprises a frequency comparator coupled to said reference generator and configured to compare a frequency of said stream of switching pulses to said reference frequency; and said constant-frequency control maintains said stream of switching pulses at said substantially constant frequency in response to said frequency comparator.
 25. A power supply as claimed in claim 15 wherein said transient control comprises: a clock configured to generate clock pulses at a substantially fixed frequency greater than a switching frequency, said switching frequency being a frequency of said stream of switching pulses; a duration counter coupled to said clock and said PWM generator, configured to count said clock pulses during each of said switching pulses, and configured to create an additional switching pulse whenever a duration of one of said switching pulses exceeds a predetermined count of said clock pulses; and a gating circuit coupled to said duration counter and said PWM generator, and configured to pass said stream of switching pulses from said PWM generator and said additional switching pulses from said duration counter to said switching circuit.
 26. A power supply as claimed in claim 15 wherein: said PWM generator generates said stream of switching pulses at a switching frequency; said phase selector collectively switches said N switches at said switching frequency; and said phase selector individually switches each of said N switches at substantially N⁻¹ times said switching frequency.
 27. A transient-controlling multiphase sliding-mode switching power supply having N phases, where N is an integer greater than one, said power supply comprising: N switches configured to be coupled to a bipolar power source, wherein each of said N switches effects one of said N phases; N inductances, wherein each of said N inductances is coupled to one of said N switches; a capacitance coupled to each of said N inductances and configured to be coupled across a load; a translation circuit coupled to said sliding-surface generator and configured to translate said sliding surface into a stream of switching pulses in response to said sliding surface; a transient control coupled to said translation circuit and configured to adjust said stream of switching pulses upon detection of an out-of-range transient; and a switching circuit coupled to said N switches, coupled to said transient control, and configured to switch said N switches in response to said stream of switching pulses.
 28. A power supply as claimed in claim 27 wherein: said translation circuit is a constant-frequency control; and said switching circuit switches said N switches at a substantially constant switching frequency in response to said constant-frequency control.
 29. A power supply as claimed in claim 28 wherein: said constant-frequency control comprises a reference generator configured to generate a reference frequency; said constant-frequency control additionally comprises a frequency comparator coupled to said reference generator and configured to compare said substantially constant switching frequency to said reference frequency; and said constant-frequency control maintains said substantially constant switching frequency in response to said frequency comparator.
 30. A power supply as claimed in claim 28 wherein: said transient limit control comprises: a clock configured to generate clock pulses at a rate greater than a rate of said stream of switching pulses; a duration counter coupled to said translation circuit and said clock, and configured to count said clock pulses; and a gating circuit coupled to said translation circuit and said duration counter, and configured to pass said switching pulses from said translation circuit to said switching circuit; said switching circuit switches to an M^(th) one of said N switches upon receipt of an M^(th) one of said switching pulses from said gating circuit, where M is an integer having a range 1<M≦N; said duration counter is initiated by said M^(th) one of said switching pulses, counts said clock pulses during said M^(th) switching pulse, and issues an additional switching pulse to said gating circuit if said duration counter reaches a predetermined count during said M^(th) switching pulse; and said switching circuit switches to an (M+1)^(th) one of said N switches upon receipt of an (M+1)^(th) one of said switching pulses from said gating circuit, wherein said (M+1)^(th) switching pulse is one of a switching pulse from said translation circuit following said M^(th) switching pulse, and said additional switching pulse issued by said duration counter.
 31. A system comprising: a bipolar power source configured to supply direct-current electrical energy in a first form; an electronic device configured to utilize direct-current electrical energy in a second form; and a sliding-mode switching power supply having N phases, where N is a positive integer greater than one, coupled between said bipolar power source and said electronic device, and configured to convert said direct-current electrical energy in said first form into said direct-current electrical energy in said second form, wherein said power supply comprises: N switches coupled to said bipolar power source, wherein each of said N switches effects one of said N phases; N inductances, wherein each of said N inductances is coupled to one of said N switches; a capacitance coupled to said N inductances and said electronic device; a feedback-signal generator configured to generate a comprehensive feedback signal for said N phases; a pulse-width-modulation (PWM) generator comprising: a translation circuit coupled to said feedback-signal generator and configured to translate said feedback signal into a stream of switching pulses at a switching frequency; and a transient control coupled to said PWM generator and configured to adjust said stream of switching pulses upon detection of an out-of-range one of said switching pulses; and a phase selector coupled to said N switches, coupled to said transient control, and configured to sequentially switch said N switches in response to said stream of switching pulses.
 32. A system as claimed in claim 31 wherein said electronic device is one of a computing device and a communications device.
 33. A system as claimed in claim 31 wherein said feedback-signal generator comprises a sliding-surface generator configured to generate a single sliding surface for said N phases as said feedback signal.
 34. A system as claimed in claim 31 wherein: said phase selector switches to a next one of said N switches at receipt of one of said pulses in said series of pulses; and said transient control comprises a duration counter configured to be initiated at a beginning of said one switching pulse, and configured to inject an additional switching pulse into said stream of switching pulses if said duration counter reaches a predetermine count during said one switching pulse.
 35. A system as claimed in claim 31 wherein: said transient control comprises a duration counter; said switching circuit switches to an M^(th) one of said N switches upon receipt of an M^(th) one of said switching pulses from said gating circuit, where M is an integer having a range 1<M≦N; said M^(th) switching pulse initiates said duration counter; said duration counter counts clock pulses during said M^(th) switching pulse, said clock pulses having a frequency greater than said switching frequency; said duration counter injects an additional switching pulse into said stream of switching pulses if said duration counter reaches a predetermined count during said M^(th) switching pulse; and said switching circuit switches to an (M+1)^(th) one of said N switches upon receipt of an (M+1)^(th) one of said switching pulses from said gating circuit, wherein said (M+1)^(th) switching pulse is one of a switching pulse from said translation circuit following said M^(th) switching pulse, and said additional switching pulse issued by said duration counter. 